Using 3D Points as Inputs to a Neural Net
A few thoughts :


10x3 matrix for each example is really a small amount of data. FCNN could do a good job on that.
As a result, I'm not sure CNN is appropriated. The smallest dimension is 3, so it'll force you to have really small kernels.
Have you thought about LSTM? since that your data is sequential, LSTM may be useful. However, I'm not sure they could be really effective on this little amount of data. but it could be nice to try.